# Tangent and Cotangent Functions (Special Property)

- Author:
- Tim Brzezinski

- Topic:
- Functions, Trigonometric Functions

Suppose is an angle drawn in standard position.

**Let**, and*P*(*x*,*y*) = any point in the coordinate plane*r*= distance from**point**to the origin, then and . Interact with the applet below for a minute or two. Then answer the questions that follow.*P***(Be sure to move point***P*to various locations!)## 1.

Regardless of where **point P** lies, what relationship can you write about the ratios and ?

## 2.

Regardless of where **point P** lies, what relationship can you write about the ratios and ?